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13112111200341 = 32937131179271641
BaseRepresentation
bin1011111011001110011010…
…1110101111100001010101
31201102111122120111121001210
42332303212232233201111
53204312100431402331
643515342024412033
72522214224155026
oct276634656574125
951374576447053
1013112111200341
1141a58a6a3897a
12157926b617019
1374160b69519a
143348b576cc4d
1517b121caa446
hexbece6baf855

13112111200341 has 128 divisors (see below), whose sum is σ = 18919742054400. Its totient is φ = 8061161472000.

The previous prime is 13112111200289. The next prime is 13112111200351. The reversal of 13112111200341 is 14300211121131.

It is a happy number.

It is not a de Polignac number, because 13112111200341 - 27 = 13112111200213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112111200351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20455711381 + ... + 20455712021.

It is an arithmetic number, because the mean of its divisors is an integer number (147810484800).

Almost surely, 213112111200341 is an apocalyptic number.

It is an amenable number.

13112111200341 is a deficient number, since it is larger than the sum of its proper divisors (5807630854059).

13112111200341 is a wasteful number, since it uses less digits than its factorization.

13112111200341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13112111200341 its reverse (14300211121131), we get a palindrome (27412322321472).

The spelling of 13112111200341 in words is "thirteen trillion, one hundred twelve billion, one hundred eleven million, two hundred thousand, three hundred forty-one".

Divisors: 1 3 29 37 87 111 131 179 271 393 537 641 813 1073 1923 3219 3799 4847 5191 6623 7859 10027 11397 14541 15573 18589 19869 23449 23577 23717 30081 35501 48509 55767 70347 71151 83971 106503 114739 140563 145527 173711 192067 251913 290783 344217 421689 521133 576201 680021 687793 867613 872349 1029529 1313537 1406761 1794833 2040063 2063379 2435159 2602839 3088587 3106927 3327431 3940611 4220283 4245343 5037619 5384499 6354679 6427307 7305477 9320781 9982293 12736029 15030809 15112857 19064037 19281921 22756141 25160777 31094269 38092573 45092427 52050157 68268423 75482331 90100883 93282807 114277719 123114947 156150471 184285691 186391903 235123123 270302649 369344841 435893461 552857073 556139933 559175709 659928089 705369369 841977217 901733801 1150487953 1307680383 1668419799 1979784267 2525931651 2705201403 3451463859 4073349239 6818570567 12220047717 16128058057 20455711701 24417339293 33364150637 48384174171 73252017879 100092451911 118127127931 150713921843 354381383793 452141765529 4370703733447 13112111200341